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Finding the Third Proportional to 285,771 and 620,790

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Solution

The third proportional to 285,771 and 620,790 is: 1,348,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,771 : 620,790 = 620,790 : x
  2. Step 2: Convert to fraction form
    285,771/620,790 = 620,790/x
  3. Step 3: Cross multiply
    285,771x = 620,790 × 620,790
  4. Step 4: Simplify right side
    285,771x = 385,380,224,100
  5. Step 5: Solve for x
    x = 385,380,224,100/285,771
  6. Step 6: Final answer
    x = 1,348,563.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.